288960060 has 96 divisors (see below), whose sum is σ = 849139200. Its totient is φ = 73319680.

The previous prime is 288960059. The next prime is 288960073. The reversal of 288960060 is 60069882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122371 + ... + 124709.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^288960060 is an apocalyptic number.

288960060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288960060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

288960060 is an abundant number, since it is smaller than the sum of its proper divisors (560179140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288960060 is a wasteful number, since it uses less digits than its factorization.

288960060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 288960060 is about 16998.8252535286. The cubic root of 288960060 is about 661.1184433640.

The spelling of 288960060 in words is "two hundred eighty-eight million, nine hundred sixty thousand, sixty".